The neutral element of \(\circ \)  will be denoted by 0. The simpler example of left semi-brace is the one given by an arbitrary group \((E,\circ )\)  together with the \(+\)  operation given by \(a+b:=b\)  for all \(a,b\in E\) . Following the terminology of [1]}, we refer to this left semi-brace as the trivial left semi-brace on the group \((E,\circ )\) . We remark that trivial left semi-braces are different from the trivial skew left braces: indeed, a trivial skew left brace on a group \((B,\circ )\)  will be given by \(a+b:=a\circ b\)  for all \(a,b\in B\) .
